Write down the domain and range of $\sin x$ .

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Solution

Domain and range of a function.
The domain of a graph consists of all the input values shown on the $x - axis$ .
The range is the set of possible output values shown on the $y - axis$ .
The graph of $\sin x$ is shown below,
From the graph, it is observed that,
The domain of $\sin x$ is all real numbers and the range is $x \in [- 1, 1]$
Hence, the domain of $\sin x$ is all real numbers and the range is $x \in [- 1, 1]$ .

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